Wavelet optimized upwind conservative method for traffic flow problems

2020 ◽  
Vol 31 (06) ◽  
pp. 2050086
Author(s):  
Deepika Sharma ◽  
Kavita Goyal
Keyword(s):  
Finite Difference ◽  
Traffic Flow ◽  
Flow Problem ◽  
Adaptive Grid ◽  
Daubechies Wavelet ◽  
Numerical Schemes ◽  
Conservative Method ◽  
Flow Problems ◽  
Finite Difference Technique ◽  
Run Time

Numerical schemes, namely, upwind nonconservative, upwind conservative, Lax–Friedrichs, Lax–Wendroff, MacCormack and Godunov are applied and compared on traffic flow problems. The best scheme, namely, upwind conservative is used for wavelet-optimized method using Daubechies wavelet for numerically solving the same traffic flow problems. Numerical results corresponding to the traffic flow problem with the help of wavelet-optimized, adaptive grid, upwind conservative method have been given. Moreover, the run time carried out by the developed technique have been compared to that of run time carried out by finite difference technique. It is observed that, in terms of run time, the proposed method performs better.

A Numerical Method for Solving General MHD Duct Flow Problems

1972 ◽  
Vol 39 (1) ◽  
pp. 47-52 ◽  
Author(s):  
Wen-Hwa Chu
Keyword(s):  
Finite Difference ◽  
Computer Program ◽  
Numerical Method ◽  
Basic Principle ◽  
Mhd Flow ◽  
Duct Flow ◽  
Successive Overrelaxation ◽  
General Domain ◽  
Flow Problems ◽  
Finite Difference Technique

A numerical method is successfully developed for solving general MHD duct flow problems, utilizing “machine transformation” and finite-difference technique with a new successive overrelaxation procedure. Examples are given to establish the method and to indicate the versatility of the associated computer program. The generality of the basic principle may help to solve many problems other than MHD flow in a general domain.

SIMPLIFIED FINITE DIFFERENCE THERMAL LATTICE BOLTZMANN METHOD

2008 ◽  
Vol 22 (22) ◽  
pp. 3865-3876 ◽  
Author(s):  
C. S. NOR AZWADI ◽  
T. TANAHASHI
Keyword(s):  
Temperature Field ◽  
Finite Difference ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Square Cavity ◽  
Flow Problems ◽  
Finite Difference Technique ◽  
Thermal Fluid Flow ◽  
Boltzmann Method ◽  
Thermal Lattice Boltzmann

In this paper, a well-known finite difference technique is combined with thermal lattice Boltzmann method to solve 2-dimensional incompressible thermal fluid flow problems. A small number of microvelocity components are applied for the calculation of temperature field. The combination of finite difference with lattice Boltzmann method is found to be an efficient and stable approach for the simulation at high Rayleigh number of natural convection in a square cavity.

Computer Simulation of the Response of Amperometric Biosensors in Stirred and non Stirred Solution

2003 ◽  
Vol 8 (1) ◽  
pp. 3-18 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
J. Kulys
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Finite Difference ◽  
Mass Transport ◽  
Enzyme Reaction ◽  
Analyte Concentration ◽  
Amperometric Biosensors ◽  
Finite Difference Technique ◽  
Enzyme Layer ◽  
Biosensor Response

A mathematical model of amperometric biosensors has been developed to simulate the biosensor response in stirred as well as non stirred solution. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region, where the analyte concentration is maintained constant. Using computer simulation the influence of the thickness of the enzyme layer as well the diffusion one on the biosensor response was investigated. The computer simulation was carried out using the finite difference technique.

Modelling of Moisture Movement in Wood during Outdoor Storage

2001 ◽  
Vol 6 (2) ◽  
pp. 3-14 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
I. Juodeikienė ◽  
A. Kajalavičius
Keyword(s):  
Experimental Data ◽  
Finite Difference ◽  
Climatic Conditions ◽  
Two Dimensional ◽  
Moisture Movement ◽  
Finite Difference Technique ◽  
Long Term Storage ◽  
Space Formulation ◽  
Term Storage

A model of moisture movement in wood is presented in this paper in a two-dimensional-in-space formulation. The finite-difference technique has been used in order to obtain the solution of the problem. The model was applied to predict the moisture content in sawn boards from pine during long term storage under outdoor climatic conditions. The satisfactory agreement between the numerical solution and experimental data was obtained.

On the Motion of Granular Materials Due to Shear

2000 ◽  
Author(s):  
Mehrdad Massoudi ◽  
Tran X. Phuoc
Keyword(s):  
Finite Difference ◽  
Granular Materials ◽  
Continuum Model ◽  
Theory Model ◽  
Governing Equations ◽  
Flat Plates ◽  
Material Parameters ◽  
Finite Difference Technique ◽  
Linear Differential ◽  
The Continuum

Abstract In this paper we study the flow of granular materials between two horisontal flat plates where the top plate is moving with a constant speed. The constitutive relation used for the stress is based on the continuum model proposed by Rajagopal and Massoudi (1990), where the material parameters are derived using the kinetic theory model proposed by Boyle and Massoudi (1990). The governing equations are non-dimensionalized and the resulting system of non-linear differential equations is solved numerically using finite difference technique.

Sign in / Sign up

Export Citation Format

Share Document